metrization

См. также в других словарях:

• metrization — metrizacija statusas T sritis fizika atitikmenys: angl. metricalization; metrication; metrization vok. Metrisation, f; Metrisierung, f rus. метризация, f pranc. métrisation, f …   Fizikos terminų žodynas

• Metrization theorem — In topology and related areas of mathematics, a metrizable space is a topological space that is homeomorphic to a metric space. That is, a topological space (X,τ) is said to be metrizable if there is a metric such that the topology induced by d… …   Wikipedia

• metrization — …   Useful english dictionary

• Nagata–Smirnov metrization theorem — The Nagata–Smirnov metrization theorem in topology characterizes when a topological space is metrizable. The theorem states that a topological space X is metrizable if and only if it is regular and Hausdorff and has a countably locally finite… …   Wikipedia

• Bing metrization theorem — The Bing metrization theorem in topology characterizes when a topological space is metrisable. The theorem states that a topological space X is metrisable if and only if it is regular and T0 and has a sigma; discrete basis. A family of sets is… …   Wikipedia

• Locally discrete collection — In mathematics, particularly topology, collections of subsets are said to be locally discrete if they look like they have precisely one element from a local point of view. The study of locally discrete collections is worthwile as Bing s… …   Wikipedia

• List of theorems — This is a list of theorems, by Wikipedia page. See also *list of fundamental theorems *list of lemmas *list of conjectures *list of inequalities *list of mathematical proofs *list of misnamed theorems *Existence theorem *Classification of finite… …   Wikipedia

• Moore space (topology) — In mathematics, more specifically point set topology, a Moore space is a developable regular Hausdorff space. Equivalently, a topological space X is a Moore space if the following conditions hold: Any two distinct points can be separated by… …   Wikipedia

• Counterexamples in Topology —   Author(s) Lynn Arthur Steen J. Ar …   Wikipedia

• Metric space — In mathematics, a metric space is a set where a notion of distance (called a metric) between elements of the set is defined. The metric space which most closely corresponds to our intuitive understanding of space is the 3 dimensional Euclidean… …   Wikipedia

• Pavel Samuilovich Urysohn — Pavel Samuilovich Urysohn, Pavel Uryson ( ru. Павел Самуилович Урысон) (February 3, 1898, Odessa – August 17, 1924, Batz sur Mer) was a Russian mathematician who is best known for his contributions in the theory of dimension, for developing… …   Wikipedia